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Finding the Fourth Proportional to 9,933.27, 13,708.16 and 5,457.44

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Solution

The fourth proportional to 9,933.27, 13,708.16 and 5,457.44 is: 7,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.27 : 13,708.16 = 5,457.44 : x
  2. Step 2: Convert to fraction form
    9,933.27/13,708.16 = 5,457.44/x
  3. Step 3: Cross multiply
    9,933.27x = 13,708.16 × 5,457.44
  4. Step 4: Simplify right side
    9,933.27x = 74,811,488.16
  5. Step 5: Solve for x
    x = 74,811,488.16/9,933.27
  6. Step 6: Final answer
    x = 7,531.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.